1. Finding a percentage of a given number:
To find the percentage of a given number, multiply the number by the require percent.
Let the number \(= x\)
Required percent \(= p\)\(\%\)
Percentage of given number \(= p\)\(\%\) of \(x\)
\(=\) p100×x
2. Finding the original number from its percent:
Let original number \(= x\)
Required percent \(= p\)\(\%\)
Obtained percentage \(= y\)
Now \(p\)\(\%\) of \(x = y\)
p100×x \(= y\)
\(x =\) yp×100
Original Number \(=\) \(\frac{\text{Obtained Number}}{\text{percent}}\)\(\times100\)
3. Finding how much percent one quantity is of another quantity:
To find what percent of one quantity is of the other quantity if two quantities are given, we proceed as follows:
Let \(a\) and \(b\) are two quantities and we want to know 'what percent of '\(a\)' is '\(b\)'?
Let \(x\)\(\%\) of \(a\) is equal to \(b\) then: